A generalization of the Virasoro algebra to arbitrary dimensions
Abstract
Colored tensor models generalize matrix models in higher dimensions. They admit a 1/N expansion dominated by spherical topologies and exhibit a critical behavior strongly reminiscent of matrix models. In this paper we generalize the colored tensor models to colored models with generic interaction, derive the Schwinger Dyson equations in the large N limit and analyze the associated algebra of constraints satisfied at leading order by the partition function. We show that the constraints form a Lie algebra (indexed by trees) yielding a generalization of the Virasoro algebra in arbitrary dimensions.
 Publication:

Nuclear Physics B
 Pub Date:
 November 2011
 DOI:
 10.1016/j.nuclphysb.2011.07.009
 arXiv:
 arXiv:1105.6072
 Bibcode:
 2011NuPhB.852..592G
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 Mathematical Physics
 EPrint:
 doi:10.1016/j.nuclphysb.2011.07.009